Stable Ulrich bundles on Fano threefolds with Picard number 2

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2018-01-01

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Genc, Ozhan

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In this paper, we consider the existence problem of rank one and two stable Ulrich bundles on imprimitive Fano 3-folds obtained by blowing-up one of P-3, Q (smooth quadric in P-4), V-3 (smooth cubic in P-4) or V-4 (complete intersection of two quadrics in P-5) along a smooth irreducible curve. We prove that the only class which admits Ulrich line bundles is the one obtained by blowing up a genus 3, degree 6 curve in P-3. Also, we prove that there exist stable rank two Ulrich bundles with c(1) = 3H on a generic member of this deformation class.

Subject Keywords

Resolution, Modules

URI

https://hdl.handle.net/11511/63545

Journal

JOURNAL OF PURE AND APPLIED ALGEBRA

DOI

https://doi.org/10.1016/j.jpaa.2017.03.013

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Department of Mathematics, Article

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Citation Formats

O. Genc, “Stable Ulrich bundles on Fano threefolds with Picard number 2,” JOURNAL OF PURE AND APPLIED ALGEBRA, pp. 213–240, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63545.